Crafa, Silvia and Marcuzzi, Fabio and Virgulin, Marco (2014) *Computing from LaTeX: automated numerical computing from *

LaTeX expressions. [Preprint]

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## Abstract (english)

We present CfL (Computing from LaTeX), a software tool

that allows the user to automatically perform numerical computation

without any programming activity. The user has just to express

his computational problem in the usual mathematical language found in

written books, and to typeset it using for a well-formatted

printout.

CfL is designed so that it parses a LaTeX document to recognize

well-defined computational problems. An executable Python script is

then automatically generated so that mathematical objects are

encoded as Python data objects, and the script's logic reflects an appropriate numerical solution pattern for the recognized computational

problem. The results of the numerical computations can also be

automatically inserted in a resulting LaTeX document so to be

displayed by means of tables and graphics.

Therefore, CfL is a numerical problem-solving environment that

converts the specification of a mathematical problem into

an appropriate resolution pattern that can be directly executed.

The use of high-level mathematical abstractions, the familiar LaTeX

typesetting and the automated code generation are key design choices

that provide ease-of-use and explorative computation, with a

negligible overhead.

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